Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
arXiv:1106.3147 · doi:10.1016/j.nuclphysb.2011.11.013
Abstract
The eigenvalue distribution is investigated for matrix models related via the localization to Chern-Simons-matter theories. An integral representation of the planar resolvent is used to derive the positions of the branch points of the planar resolvent in the large 't Hooft coupling limit. Various known exact results on eigenvalue distributions and the expectation value of Wilson loops are reproduced.
32 pages, 7 figures, v2) references added
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Cited by in corpus (20)
- ABJM theory as a Fermi gas
- Exact results on ABJ theory and the refined topological string
- Direct derivation of "mirror" ABJ partition function
- Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
- Instanton Effects in Orbifold ABJM Theory
- Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
- Localization at large N in Chern-Simons-matter theories
- ABJM Theory with mass and FI deformations and Quantum Phase Transitions
- Emergent bubbling geometries in the plane wave matrix model
- On Large N Solution of N=3 Chern-Simons-adjoint Theories
- Z Extremization in Chiral-Like Chern Simons Theories
- SU(N) q-Toda equations from mass deformed ABJM theory
- From Phase Space to Integrable Representations and Level-Rank Duality
- On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
- Cubic constraints for the resolvents of the ABJM matrix model and its cousins
- Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
- Supersymmetry Breaking and Planar Free Energy in Chern-Simons-matter Theories
- Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
- Strong Coupling Limit of A Family of Chern-Simons-matter Theories
- Supersymmetric Effective Action of D2-branes in Massive IIA String Theory